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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 203, page id 779785487:0261
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82
Eid. 17
13. 46
TENEAEUIM PeF
L. 1B. II. DE SONIS.
Temiparabolam las axi ve paret: hinc AF erie rem-
FAC, quod est ad sparium acqui-
licum, eodem rempore, iuxra pri.
mum genus morus, nimirum Erian-
sulum AFHI, rE 2. ad 3. VE PatCE
cum hoc criangulum (ic aequalere.
ctangulo (ub F C, F A, e hoc
sic ad Cemiparibolam, ve 3. 2d 2.
hinc muratur ratio Epatiorum, nem-
De iuxca primum genus spacium
acquilicum rempore AB, est 2d 2C.
quiliTAm TeMpOre aequalI BF, VE
eriaoulum ABE ad craperIUBETIE,
id elt, ve 1. 2d 3. vel rrb. 2d 18. aF
18.53
vero iuxca secundum genus, verria-
gulum mixcum ABH ad erapeziu
mixrum B N GF; id CA, VE 5. 2d
22. VE pater ex reomerria, sic enim
Cemiparabola ADC, rectangu-
lum A G, lic v. 8. rectangulum
AG 24. eric semiparabola AGD
26. igicur criangulum mixtum
AM C C eric 8. est aucem AguEa
Hoinogenea Cono, neMpC COnUS
Secatur per plana parallela basi ho-
mologa lineis parallelis AC, PS;
SIE ALL aqualiS RD, dE RS patal-
lela axi DO, Crit DS aequalis VO,
Tubquadrupla OD, vel CA; igieuE
criangulum mixtum M aG S CA
Tuboctuplum mixri APOC; CUI
ergo rectangulum RO Gc X2. nimi-
rum subduplum rectansuli AC, si
ex eo demas miXrum l’a GS, id
Dus, prima relocitas AC, acqui-
est, r. restat craperium mixtum
RPOD, id eA, rI. igieur mixrum
Fis. 47. ATPR exir 5. Sed haec lune Facilia.
lica triangulum FDO, Spatium di-
Hlac demum reduci poltunt ad A-
suram rectilincam Colida (r; enim
eyramis, cuius batis sIE rectangu-
Lum AD, _ alcicudo FO; GInEque
quorcumque plana craperia paral.
lela criansulo GFD, v. 8. IHLR,
cta pyramis A D C, POrrO iUIXTA
verumque genus pro diverla rem-
porum mentura, suppolica eadem
velocirare primaria, vel innaca, a
qua scilicet acquilita incipie, FOca
Epacia, Cune re remporum quadra-
c2, v. 8. Cir mensura remporis AF Eig 463
Sparium exie semiparabola F AC,
iuxca secundum genus. inOrus, de
iuxca primum criangulum APLI,
lic aurem mentura cemporis AB,
quo Ceilicet mocus acceleratio per-
fciatur, Scgue eadem velocicas pri-
maria Supposica scilicet eadem
cangente AE, Spatium erie, iux-
ea secundum genus, Cemiparabo-
la BAD, _ iuxta primum erian-
Gulum AB F; Sed Cemiparabola
BAD est ad Cemiparabola FAC,
ve criangulum rectilineum BAD
ad rectilinCL F A G; id est, VE
haec Agura est homogenea Cemipa-
quadearum BA ad quadeatum FA;
Cunc enim criangula proxorciona-
rabola divila per lineas paralle.
lia, isieur e Cemiparabola pro-
porcionales; idem erir allumpra
AK, pro cemporis menlura; idem
habebieur si accipiatur Colidum
Agura 47. erune enim prrami-
des, quae sepraelentant (pacia in
rarione compolica balium et 2l-
ticudinum.
Si vero primaria velocitas lup-
ponatur minor, crune sparia in
compolica menturarum e veloci.
carum acquisitarum; V. 8. SIE Fan-
GenS AD, e temporis mentura
AB; Spatium eric, iuxca secundum
genus. Temiparabola BAC, quae est
Subdupla Femiparabola BAD, _EC.
Flinc iuxra secundum genus mo-
tuS, asTumpea qualibet progresO-
ne, in qualiber figura, Ceu solidar
Ecu